Nef line bundles on Calabi-Yau threefolds, I
Vladimir Lazi\'c, Keiji Oguiso, Thomas Peternell

TL;DR
This paper proves that certain nef line bundles on Calabi-Yau threefolds with specific conditions are semiample, advancing understanding of line bundle properties in algebraic geometry.
Contribution
It establishes semi-ampleness of nef line bundles with non-zero square Chern class on Calabi-Yau threefolds with Picard number 2 and non-zero third Chern class, under new conditions.
Findings
Nef line bundles with $c_1(\\mathcal L)^2 \ne 0$ are semiample on specified Calabi-Yau threefolds.
Semi-ampleness holds for line bundles with these properties when Picard number is 2.
The result applies to Calabi-Yau threefolds with non-zero third Chern class.
Abstract
We prove that a nef line bundle with on a Calabi-Yau threefold with Picard number and with is semiample, that is, some multiple of is generated by global sections.
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